I'm a student enrolled in an university in Italy. I'm currently taking a course on probability theory, but the way is it taught is, whilst very good, not very thorough; I mean that in class some of the most difficult part are skipped. As such, I'm studying those part on the book by myself. Since this is a completely new topic for me, I often wonder if I'm understanding the proofs correctly, and if I'm able to correctly apply the theorems.
For this reason I sent an email to my professor, kindly asking to review a short proof (that I've written in latex, so it was pretty and all) specifying that I wasn't sure if all the operations and the theorems employed were indeed well used. The professor did not answer my mail.
My question is, was I wrong with sending the email in the first place? Is it bad etiquette to do so? I especially don't want to appear like some sort of "smart aleck" or anything, I am honestly trying to understand the topic. Of course I don't mind that the professor didn't reply, I know he must be pretty busy. On the other hand, I also have the feeling that if I can't get any feedback I may as well study the books by myself. What is even the point of being enrolled in the university then?
I hope someone with experience (maybe a professor!) can share their thoughts.